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                Xavier is Learning to Count                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div class="panel_content"><span style="font-size: medium">&nbsp;&nbsp;Xavier, a 9-year-old student, loves playing many kinds of puzzles. One of his favourites is the following:<br />
&nbsp;&nbsp;Xerier, his classmate, has made many cards. She writes down a single positive number on each of them. No numbers written on different cards are the same. After that she writes down an equation, whose right side is a single positive number chosen by her, and the left side is the sum of p integers:<br />
<br />
&nbsp;&nbsp;Then she asks Xavier put p cards on the corresponding Xi&rsquo;s position to make this equation correct, with an additional condition that Xi should be ordered from smaller to bigger, i.e.<br />
&nbsp;&nbsp;Every time Xavier immediately comes up with many solutions. Now he wants to know how many solutions in total are there for any n given by Xerier.<br />
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</span></p></p><hr/><h3>输入格式</h3><p><p><span style="font-size: medium">&nbsp;&nbsp;There are multiple test cases. The number of them is given in the beginning of the input. Then a series of input block comes one by one.<br />
&nbsp;&nbsp;For each test case:<br />
&nbsp;&nbsp;The first line contains two space-separated integers m and p (1&lt;=p&lt;=5). The second line contains m distinct positive integers - the numbers written on each of the cards. None of these integers exceeds 13000.<br />
&nbsp;&nbsp;There are about 120 test cases in total, but 90% of them are relatively small. More precisely, all numbers are less than or equal to 100 in 90% of the test cases.<br />
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</span>&nbsp;</p></p><hr/><h3>输出格式</h3><p><div class="panel_content"><span style="font-size: medium">&nbsp;&nbsp;For each test case:<br />
&nbsp;&nbsp;For each positive integer, output the number of ways in a single line. To keep the output finite, only numbers with positive ways should be outputted.<br />
&nbsp;&nbsp;Output a blank line after each test case. See sample for more format details.<br />
</span></div>
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<pre></pre>
</div></p><hr/><h3>样例输入</h3><pre>3
3 3
1 2 3
5 4
1 3 5 6 7
10 3
1 2 3 4 5 6 7 8 9 10
</pre><hr/><h3>样例输出</h3><pre>Case #1:
6: 1

Case #2:
15: 1
16: 1
17: 1
19: 1
21: 1

Case #3:
6: 1
7: 1
8: 2
9: 3
10: 4
11: 5
12: 7
13: 8
14: 9
15: 10
16: 10
17: 10
18: 10
19: 9
20: 8
21: 7
22: 5
23: 4
24: 3
25: 2
26: 1
27: 1
</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>Acm 2011 上海</p>
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